Question

For silver $C_p\left(J{K}^{-1}mo{l}^{-1}\right)=23+0.01T$. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of $\Delta H$ will be close to:

• A. 13 kJ
• B. 62 kJ
• C. 16 kJ
• D. 21 kJ

Answer 1

The correct option is B 62 kJ

We know,
$\Delta H=n{\int }_{T_1}^{T_2}{C}_{p}dT=3{\int }_{300}^{1000}(23+0.01T)dT$
$=3\left[23\right(1000-300\left)\right]+3\left[\frac{0.01}{2}(1000{)}^2-(300{)}^2\right]$
$=61950J\equiv 62kJ$